Area of a Regular Pentagon and an Inscribed Circle

Area of a Regular Pentagon and an Inscribed Circle

Secondary 1

The diagram shows a circle, with centre \(O\), of diameter \(11\) cm inscribed in a regular pentagon of sides \(8\) cm each. Taking \(\pi =3.142\),

  1. find the area of the regular pentagon, and
  2. find the area of the shaded part, correct to \(3\) significant figures.

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Answer:(a) \(110\text{ cm}^2\) (b) \(15.0\text{ cm}^2\)

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